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Finding the Fourth Proportional to 3,966.92, 5,951.21 and 1,193.79

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Solution

The fourth proportional to 3,966.92, 5,951.21 and 1,193.79 is: 1,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.92 : 5,951.21 = 1,193.79 : x
  2. Step 2: Convert to fraction form
    3,966.92/5,951.21 = 1,193.79/x
  3. Step 3: Cross multiply
    3,966.92x = 5,951.21 × 1,193.79
  4. Step 4: Simplify right side
    3,966.92x = 7,104,489.02
  5. Step 5: Solve for x
    x = 7,104,489.02/3,966.92
  6. Step 6: Final answer
    x = 1,790.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.